ON INTEGRALITY OF NON-SEMISIMPLE QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS
Résumé
For a root of unity ζ of odd prime order, we restrict coefficients of non-semisimple quantum representations of mapping class groups associated with the small quantum group u ζ sl 2 from Q(ζ) to Z[ζ]. We do this by exhibiting explicit bases of states spaces that span Z[ζ]-lattices that are invariant under projective actions of mapping class groups.
Domaines
Topologie géométrique [math.GT]| Origine | Fichiers produits par l'(les) auteur(s) |
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